Partial $*$-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups
Quantum Algebra
2024-06-13 v2
Abstract
We introduce a notion of partial algebraic quantum group. This is an important special case of a weak multiplier Hopf algebra with integrals, as introduced in the work of Van Daele and Wang. At the same time, it generalizes the notion of partial compact quantum group as introduced by De Commer and Timmermann. As an application, we show that the Drinfeld double of a partial compact quantum group can be defined as a partial -algebraic quantum group.
Keywords
Cite
@article{arxiv.2204.02900,
title = {Partial $*$-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups},
author = {Kenny De Commer and Johan Konings},
journal= {arXiv preprint arXiv:2204.02900},
year = {2024}
}
Comments
37 pages; some small extra explanations added. This is the AAM